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Socolar-Taylor Aperiodic Tile

by Gelada, published

Socolar-Taylor Aperiodic Tile by Gelada Apr 1, 2010

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Summary

A single tile that can fill three dimensional space but never gives a periodic tiling. For more details see:

http://blog.makezine.com/archive/2010/03/worlds_first_aperiodic_tiling_with.html

http://maxwelldemon.com/2010/04/01/socolar_taylor_aperiodic_tile/

A blender file with the python code constructing the model is here:
http://www.tilings.org.uk/monotile_2.blend

Instructions

Use the model in a 3d printer.

Two models are provided. Copies of the actual tile cannot be fitted together without access to a 4th dimension. A simpler tile that does not have all the markings should fit together, but can also give periodic tilings.

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Nicely done! I was wondering how long it would take for someone to upload this aperiodic tile.

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